A comprehensive investigation of the free in-plane vibration of a spinning annular disk is presented in this paper. Emphasis is given to the effect of clamping ratio on the natural frequencies and critical speeds of the spinning disk. For a disk with small clamping ratio, the limiting speed at which
Vibration and critical speeds of a spinning annular disk of varying thickness
β Scribed by H.P. Lee; T.Y. Ng
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 426 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
The equation of motion of a spinning isotropic annular plate of linearly and exponentially varying thickness is formulated based on the Lagrangian approach and the assumed mode method. The plate is assumed to be elastic in the spinning motion and the initial stress fields in the plate are derived assuming the plane stress condition. The natural frequencies and critical speeds for vibration modes consisting of radial nodal lines without any nodal circle are presented for simply supported-simply supported and clamped-free edge conditions.
π SIMILAR VOLUMES
The vibration and stability of a spinning disk under space-fixed tangential edge loads are studied. Both conservative and follower loads are considered. Finite Fourier transform method is employed to discretize the equation of motion. Sensitivity analysis is then performed up to the second order to
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